Let's break down the expression step by step:
Calculate inside the parentheses and perform operations in order of precedence (PEMDAS/BODMAS).
Start with the expression: \[ (6025 \cdot 6 - 74 \cdot 24 \div 3 + 573064) : (80030 - 79356) \cdot 50900 \]
First, handle the multiplication and division:
For \(6025 \cdot 6\): \[ 6025 \cdot 6 = 36150 \]
For \(74 \cdot 24\): \[ 74 \cdot 24 = 1776 \]
Now divide this by 3: \[ 1776 \div 3 = 592 \]
Substitute these results back into the expression: \[ (36150 - 592 + 573064) : (80030 - 79356) \cdot 50900 \]
Simplify:
Calculate \(36150 - 592\): \[ 36150 - 592 = 35558 \]
Now add \(573064\): \[ 35558 + 573064 = 608622 \]
Now compute in the other parenthesis: \[ 80030 - 79356 = 1174 \]
Now go back to where we left off: \[ (608622) : (1174) \cdot 50900 \]
Now divide \(608622\) by \(1174\): \[ 608622 \div 1174 \approx 518.167 \]
Finally, multiply by \(50900\): \[ 518.167 \cdot 50900 \approx 26397932.33 \]
So the final answer is approximately: \[ \boxed{26397932.33} \]
